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5-7 Analyzing Graphs of Quadratic Functions

Dive into the world of quadratic functions and learn about vertex form, axis of symmetry, and transformations from the parent graph. Explore how changing parameters affects the graphical representation. Practice with examples provided.

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5-7 Analyzing Graphs of Quadratic Functions

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  1. 5-7 Analyzing Graphs of Quadratic Functions Algebra II CP

  2. Vertex form y = a(x – h)²+k • Vertex (h, k) • Axis of Symmetry x = h • Opens up if a>0 • Opens down if a<0 • Narrower if |a| >1 • Wider if |a| < 1

  3. Transformations • From the parent graph y = x², explain how the graph changes

  4. Ex 17: • Identify the vertex, axis of symmetry, and direction of opening for y = 5(x + 3)² - 1

  5. Ex last one: • Identify the vertex, axis of symmetry, and direction of opening for y = ⅓(x - 1)² + 2

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